Solution of Nonlinear Integro Differential Equations by Two-Step Adomian Decomposition Method (TSAM)

作     者：Maryam Al-Mazmumy Safa O. Almuhalbedi Maryam Al-Mazmumy;Safa O. Almuhalbedi

作者机构：Department of Mathematics Faculty of Science-Al Faisaliah Campus King Abdulaziz University Jeddah Saudi Arabia Department of Mathematics Faculty of Science King Abdulaziz University Jeddah Saudi Arabia 

出 版 物：《International Journal of Modern Nonlinear Theory and Application》 (现代非线性理论与应用（英文）)

年 卷 期：2016年第5卷第4期

页      面：248-255页

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

主　　题：Adomian Decomposition Method Nonlinear Volterraintegro-Differential Equations Nonlinear Fredholmintegro-Differential Equations Two-Step 

摘      要：The Adomian decomposition method (ADM) can be used to solve a wide range of problems and usually gets the solution in a series form. In this paper, we propose two-step Adomian Decomposition Method (TSAM) for nonlinear integro-differential equations that will facilitate the calculations. In this modification, compared to the standard Adomian decomposition method, the size of calculations was reduced. This modification also avoids computing Adomian polynomials. Numerical results are given to show the efficiency and performance of this method.